Question

1. (x+3)^2 - (x-5) (x+5) =x = -2.2. (x-3) (x+3) + x^2 = 2(x-5)^2.​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the given equations:

1. (x+3)^2 - (x-5)(x+5) = x - 2.2

Let's simplify the equation step by step:

Expand the left side: (x^2 + 6x + 9) - (x^2 - 25) = x - 2.2

Now, distribute the negative sign: x^2 + 6x + 9 - x^2 + 25 = x - 2.2

Combine like terms: 6x + 34 = x - 2.2

Move the 'x' term to the left side by subtracting 'x' from both sides: 6x - x + 34 = -2.2

Combine like terms again: 5x + 34 = -2.2

Subtract 34 from both sides to isolate the '5x' term: 5x = -2.2 - 34

5x = -36.2

Now, divide both sides by 5 to solve for 'x': x = -36.2 / 5 x = -7.24

So, the solution to the first equation is x = -7.24.

2. (x-3)(x+3) + x^2 = 2(x-5)^2

Let's simplify this equation step by step:

Expand both sides: (x^2 - 9) + x^2 = 2(x^2 - 10x + 25)

Now, distribute the 2 on the right side: x^2 - 9 + x^2 = 2x^2 - 20x + 50

Combine like terms on both sides: 2x^2 - 9 = 2x^2 - 20x + 50

Subtract 2x^2 from both sides to eliminate the quadratic term: -9 = -20x + 50

Subtract 50 from both sides to isolate the linear term: -9 - 50 = -20x

-59 = -20x

Now, divide both sides by -20 to solve for 'x': x = -59 / -20

x = 59/20

So, the solution to the second equation is x = 59/20.

To summarize:

1. The solution to the first equation is x = -7.24.
2. The solution to the second equation is x = 59/20.